1166157200 has 60 divisors (see below), whose sum is σ = 3017220948. Its totient is φ = 430579200.

The previous prime is 1166157199. The next prime is 1166157203. The reversal of 1166157200 is 27516611.

It can be written as a sum of positive squares in 6 ways, for example, as 465178624 + 700978576 = 21568^2 + 26476^2 .

It is a super-2 number, since 2×1166157200² = 2719845230223680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166157203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106931 + ... + 117330.

Almost surely, 2^1166157200 is an apocalyptic number.

1166157200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166157200 is an abundant number, since it is smaller than the sum of its proper divisors (1851063748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1166157200 is a wasteful number, since it uses less digits than its factorization.

1166157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224292 (or 224281 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1166157200 is about 34149.0439104816. The cubic root of 1166157200 is about 1052.5733404095.

The spelling of 1166157200 in words is "one billion, one hundred sixty-six million, one hundred fifty-seven thousand, two hundred".